SOLUTION: What is the standard form equation of the ellipse with vertices at (0, 6) and (0, −6) and co-vertices at (4, 0) and (−4, 0)?

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: What is the standard form equation of the ellipse with vertices at (0, 6) and (0, −6) and co-vertices at (4, 0) and (−4, 0)?      Log On


   

Question 726047: What is the standard form equation of the ellipse with vertices at (0, 6) and (0, −6) and co-vertices at (4, 0) and (−4, 0)?
Answer by lwsshak3(11628) About Me  (Show Source):
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What is the standard form equation of the ellipse with vertices at (0, 6) and (0, −6) and co-vertices at (4, 0) and (−4, 0)?
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Given ellipse has a vertical major axis.
Its standard form of equation: %28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2=1, a>b, (h,k)=(x,y) coordinates of center: (0,0)
a=6
a^2=36
b=4
b^2=16
equation of given ellipse:
x%5E2%2F16%2By%5E2%2F36=1